Work

Non-hermitian integrable systems from constant non-invertible solutions of the Yang-Baxter equation

Year: 2025

Type: article

Abstract: A bstract We construct invertible spectral parameter dependent Yang-Baxter solutions ( R -matrices) by Baxterizing constant non-invertible Yang-Baxter solutions. The solutions are algebraic (representation independent). They are constructed using supersymmetry (SUSY) algebras. The resulting R -matrices are regular leading to local non-hermitian Hamiltonians written in terms of the SUSY generators. As particular examples we Baxterize the 4 × 4 constant non-invertible solutions of Hietarinta leading to nearest-neighbor Hamiltonians. On comparing with the literature we find that two of the models are new. Apart from being non-hermitian, many of them are also non-diagonalizable with interesting spectrums. With appropriate representations of the SUSY generators we obtain spin chains in all local Hilbert space dimensions.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep05(2025)206

Authors: Somnath Maity, Pramod Padmanabhan, Vladimir Korepin

Institutions: Indian Institute of Technology Bhubaneswar, Stony Brook University

Language: English

Topic: Quantum Mechanics and Non-Hermitian Physics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: U.S. Department of Energy, Office of Science

Awards: G241279073, G357145406, G5765906131, G7463374569